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Minimum number of operations required to sum to binary string S using C++.
Problem statement
Given a binary string str. Find the minimum number of operations required to be performed to create the number represented by str. Only following operations can be performed −
- Add 2x
- Subtract 2x
If binary string is “1000” then we have to perform only 1 operation i.e. Add 23
If binary string is “101” then we have to perform 2 operations i.e. Add 22 + 20
Example
#include <iostream>
#include <string>
#include <algorithm>
using namespace std;
int getMinOperations(string s){
reverse(s.begin(), s.end());
int n = s.length();
int result[n + 1][2];
if (s[0] == '0') {
result[0][0] = 0;
} else {
result[0][0] = 1;
}
result[0][1] = 1;
for (int i = 1; i < n; ++i) {
if (s[i] == '0') {
result[i][0] = result[i - 1][0];
result[i][1] = 1 + min(result[i - 1][1],
result[i - 1][0]);
} else {
result[i][1] = result[i - 1][1];
result[i][0] = 1 + min(result[i - 1][0],
result[i - 1][1]);
}
}
return result[n - 1][0];
}
int main(){
string str = "101";
cout << "Minimum required operations = " << getMinOperations(str) << endl;
return 0;
}Output
When you compile and execute above program. It generates following output −
Minimum required operations = 2
Updated on: 31-Oct-2019
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